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Chinese Physics Letters

Analytical Results of Eigenstates and Eigenenergies by Mixing Models of Five Bosonic Modes

LIWei-Bin, ZHANZhi-Ming, XIEXiao-Tao, LUOJin-Ming, WUXuan

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

The analytical expressions of eigenstates and eigenenergies are demonstrated using a parameter A without theassumption of Bethe ansatz for two kinds of five-mode mixing models. It is found that the parameter can bedetermined by the roots of a simple polynomial. We also illustrate the exact analytical expressions of eigenstatesand energies without any unknown parameter.

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We obtain the exact analytical results of all the eigenvalues and eigenstates for three kinds of models describing N -mode multiphoton process without using the assumption of the Bethe ansatz. The exact analytical results of all the eigenstates and eigenvalues are in terms of a parameter λ for three kinds of models describing N -mode multiphoton process. The parameter is shown to be determined by the roots of a polynomial and is solvable analytically or numerically. Moreover, these three kinds of models can be processed with the same procedure.